56769400 has 48 divisors (see below), whose sum is σ = 133696800. Its totient is φ = 22414080.

The previous prime is 56769389. The next prime is 56769403. The reversal of 56769400 is 496765.

It is a self number, because there is not a number n which added to its sum of digits gives 56769400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56769403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14004 + ... + 17596.

It is an arithmetic number, because the mean of its divisors is an integer number (2785350).

Almost surely, 2^56769400 is an apocalyptic number.

56769400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56769400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66848400).

56769400 is an abundant number, since it is smaller than the sum of its proper divisors (76927400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56769400 is a wasteful number, since it uses less digits than its factorization.

56769400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 56769400 is about 7534.5470998594. The cubic root of 56769400 is about 384.3304266731.

The spelling of 56769400 in words is "fifty-six million, seven hundred sixty-nine thousand, four hundred".